Answer:
The equation of line is given as
Step-by-step explanation:
Point on the line given :
We can find the slope of the line first from the given points.
Slope= Undefined.
The slope of the line is undefined which means that the line is parallel to y-axis.
From the points known to us we can tell that the line passes through
∴ The equation of line is given as
The place value of 9 in 0.496 is hundredths place.
Answer:
3 tiles will not fit together.
Step-by-step explanation:
Measure of an Interior angle of a polygon =
Here, n = number of sides of the polygon
Therefore, measure of the interior angles of a regular hexagon,
A =
A = 120°
Similarly, interior angle of the regular pentagon,
B =
B = 108°
Now m∠A + m∠B + m∠C = 360°
m∠C = 360° - (120° + 108°)
= 132°
To fit the given three tiles perfectly, interior angle (∠D) of the third Octagonal tile should be 132°.
D =
D = 135°
m∠C ≠ m∠D
Therefore, 3 tiles will not fit together.
Answer:
x^(5/6) + 4(x^(7/3))
Step-by-step explanation:
Simplify x to the 1/3 power MULTIPLIED BY (x to the 1/2 power + 2x to the 2 power )
Simplify x^(1/3) × (x^(1/2) + (2x)^2)
= x^(1/3)(x^(1/2)) + x^(1/3)((2x)^2)
= x^(1/3+1/2) + 4(x^(1/3+2))
= x^(5/6) + 4(x^(7/3))
x^(1/3) is y such that y^3 = x
(x^(1/3) × x^(1/3) × x^(1/3)) = x^(1/3+1/3+1/3) = x^1 = x
x^(1/2) = √2 = y such that y^2 = x
(2x)^2 = 4x^2